What is log3 6 + log3 13.5

1 answer:

6 0

Log base3 (6*13.5)
log base 3 (81)
log base 3 (3)^4
4 log base 3 (3)
4 * 1 = 4

First condense the logs by using the product rule.
Next rewrite 81 in terms of 3.
Use the power rule and bring the 4 to the front.
log base 3 (3) = 1
Which leaves 4 * 1 = 4

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The hypotenuse of a right triangle is 1m longer than twice one of the other two sides. The third side of the triangle is 15m. Fi

Dimas [21]

Let the length of unknown side be x

So, hypotenuse = 2x + 1

By pythagorean theorem ie , a² = b² + c²

(2x + 1)² = x² + 15²

4x² + 1 + 4x = x² + 225

3x² + 4x -224

(3x +28)(x-8)

x = -9.33 , 8

Since, length can't be negative

x = 8

∴Unknown side length = 8 m

Length of hypotenuse = 2 x 8 + 1 = 17 m

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3 years ago

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Nookie1986 [14]

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3 years ago

Simplify 5^2 • 5^4<br> O A. 5^8<br> O B. 5^6<br> O C. 5•8<br> O D. 5^2

amid [387]

Answer:

Option B

Step-by-step explanation:

Given the following question:

$5^2\times5^4$

In order to find the answer, we simply apply the exponent rule and add the exponents.

$5^2\times5^4$
$2+4=6$
$=5^6$

The answer is option B or "5^6."

Hope this helps.